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math.RT2016★ 1 cited
On characterization of monomial representations of discrete supersolvable groups
E. K. Narayanan, Pooja Singla
We prove that an abstract (possibly infinite dimensional) complex irreducible representation of a discrete supersolvable group is monomial if and only if it has finite weight. We a…
math.RT2016
On monomial representations of finitely generated nilpotent groups
E. K. Narayanan, Pooja Singla
A result of D. Segal states that every complex irreducible representation of a finitely generated nilpotent group is monomial if and only if is abelian-by-finite. A conject…